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Finding the Fourth Proportional to 679.17, 1,017.84 and 635.31

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Solution

The fourth proportional to 679.17, 1,017.84 and 635.31 is: 952.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.17 : 1,017.84 = 635.31 : x
  2. Step 2: Convert to fraction form
    679.17/1,017.84 = 635.31/x
  3. Step 3: Cross multiply
    679.17x = 1,017.84 × 635.31
  4. Step 4: Simplify right side
    679.17x = 646,643.93
  5. Step 5: Solve for x
    x = 646,643.93/679.17
  6. Step 6: Final answer
    x = 952.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.